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Finding the Fourth Proportional to 5,406.56, 7,457.18 and 3,514.62

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Solution

The fourth proportional to 5,406.56, 7,457.18 and 3,514.62 is: 4,847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.56 : 7,457.18 = 3,514.62 : x
  2. Step 2: Convert to fraction form
    5,406.56/7,457.18 = 3,514.62/x
  3. Step 3: Cross multiply
    5,406.56x = 7,457.18 × 3,514.62
  4. Step 4: Simplify right side
    5,406.56x = 26,209,162.76
  5. Step 5: Solve for x
    x = 26,209,162.76/5,406.56
  6. Step 6: Final answer
    x = 4,847.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.